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Finding the Fourth Proportional to 12,766, 17,616 and 7,176.64

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Solution

The fourth proportional to 12,766, 17,616 and 7,176.64 is: 9,903.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,766 : 17,616 = 7,176.64 : x
  2. Step 2: Convert to fraction form
    12,766/17,616 = 7,176.64/x
  3. Step 3: Cross multiply
    12,766x = 17,616 × 7,176.64
  4. Step 4: Simplify right side
    12,766x = 126,423,690.24
  5. Step 5: Solve for x
    x = 126,423,690.24/12,766
  6. Step 6: Final answer
    x = 9,903.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.